A uniform rod of length L = 2.0 m and mass M = 5.0 kg on a frictionless tabletop freely rotates counterclockwise about a central axle at an angular speed wp = 3.0 rad/s. A small mass m = 0.53 kg slides along the table top and sticks to the rod a distance 0.67 m away from one end of the rod. Just before sticking, the direction of the velocity of the small mass is perpendicular to the line of the rod (see figure). After sticking, the mass and the rod come to a complete stop. Given that the rotational inertia of a rod about an axis through its center is / =ML2/12, the incoming speed of the small mass is (Enter your answer in units of m/s. Only enter the number using 2 significant figures.)

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Chapter1: Units, Trigonometry. And Vectors
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A uniform rod of length L = 2.0 m and mass M = 5.0 kg on a frictionless tabletop freely rotates counterclockwise about a central axle at
an angular speed wp = 3.0 rad/s. A small mass m = 0.53 kg slides along the table top and sticks to the rod a distance 0.67 m away from
one end of the rod. Just before sticking, the direction of the velocity of the small mass is perpendicular to the line of the rod (see
figure). After sticking, the mass and the rod come to a complete stop. Given that the rotational inertia of a rod about an axis through its
center is / =ML2/12, the incoming speed of the small mass is (Enter your answer in units of m/s. Only enter the number using 2
significant figures.)
Transcribed Image Text:A uniform rod of length L = 2.0 m and mass M = 5.0 kg on a frictionless tabletop freely rotates counterclockwise about a central axle at an angular speed wp = 3.0 rad/s. A small mass m = 0.53 kg slides along the table top and sticks to the rod a distance 0.67 m away from one end of the rod. Just before sticking, the direction of the velocity of the small mass is perpendicular to the line of the rod (see figure). After sticking, the mass and the rod come to a complete stop. Given that the rotational inertia of a rod about an axis through its center is / =ML2/12, the incoming speed of the small mass is (Enter your answer in units of m/s. Only enter the number using 2 significant figures.)
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